Structural adaptation in the density model
From MaRDI portal
Publication:2078963
DOI10.4171/MSL/24zbMath1493.62169arXiv2002.10850MaRDI QIDQ2078963
Gilles Rebelles, O. V. Lepskij
Publication date: 4 March 2022
Published in: Mathematical Statistics and Learning (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.10850
Cites Work
- Multivariate density estimation under sup-norm loss: oracle approach, adaptation and independence structure
- Pointwise adaptive estimation of a multivariate density under independence hypothesis
- Structural adaptation via \(\mathbb L_p\)-norm oracle inequalities
- Nonparametric estimation of composite functions
- Projection pursuit
- Additive regression and other nonparametric models
- Estimation of a projection-pursuit type regression model
- Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
- Asymptotic minimax estimation of regression in the additive model
- Nonparametric independent component analysis
- Structure adaptive approach for dimension reduction.
- Noisy independent factor analysis model for density estimation and classification
- \(\mathbb{L}_{p}\) adaptive estimation of an anisotropic density under independence hypothesis
- Pointwise adaptive estimation of a multivariate function
- Adaptive estimation over anisotropic functional classes via oracle approach
- Adaptive estimation under single-index constraint in a regression model
- Rate-optimal estimation for a general class of nonparametric regression models with unknown link functions
- General Selection Rule from a Family of Linear Estimators
- Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates
- Nonlinear Estimation in Anisotropic Multi-Index Denoising. Sparse Case
- Asymptotically Minimax Adaptive Estimation. II. Schemes without Optimal Adaptation: Adaptive Estimators
